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122,202

122,202 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

122,202 (one hundred twenty-two thousand two hundred two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 31 × 73. Its proper divisors sum to 161,958, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD5A.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
202,221
Square (n²)
14,933,328,804
Cube (n³)
1,824,882,646,506,408
Divisor count
32
σ(n) — sum of divisors
284,160
φ(n) — Euler's totient
38,880
Sum of prime factors
115

Primality

Prime factorization: 2 × 3 3 × 31 × 73

Nearest primes: 122,201 (−1) · 122,203 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 31 · 54 · 62 · 73 · 93 · 146 · 186 · 219 · 279 · 438 · 558 · 657 · 837 · 1314 · 1674 · 1971 · 2263 · 3942 · 4526 · 6789 · 13578 · 20367 · 40734 · 61101 (half) · 122202
Aliquot sum (sum of proper divisors): 161,958
Factor pairs (a × b = 122,202)
1 × 122202
2 × 61101
3 × 40734
6 × 20367
9 × 13578
18 × 6789
27 × 4526
31 × 3942
54 × 2263
62 × 1971
73 × 1674
93 × 1314
146 × 837
186 × 657
219 × 558
279 × 438
First multiples
122,202 · 244,404 (double) · 366,606 · 488,808 · 611,010 · 733,212 · 855,414 · 977,616 · 1,099,818 · 1,222,020

Sums & aliquot sequence

As consecutive integers: 40,733 + 40,734 + 40,735 30,549 + 30,550 + 30,551 + 30,552 13,574 + 13,575 + … + 13,582 10,178 + 10,179 + … + 10,189
Aliquot sequence: 122,202 161,958 161,970 226,830 317,634 323,454 376,962 376,974 537,786 712,134 830,862 1,028,658 1,042,638 1,042,650 2,168,454 2,168,466 2,168,478 — unresolved within range

Continued fraction of √n

√122,202 = [349; (1, 1, 2, 1, 7, 7, 12, 1, 4, 5, 1, 1, 2, 1, 5, 77, 1, 1, 29, 1, 8, 2, 12, 2, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand two hundred two
Ordinal
122202nd
Binary
11101110101011010
Octal
356532
Hexadecimal
0x1DD5A
Base64
Ad1a
One's complement
4,294,845,093 (32-bit)
Scientific notation
1.22202 × 10⁵
As a duration
122,202 s = 1 day, 9 hours, 56 minutes, 42 seconds
In other bases
ternary (3) 20012122000
quaternary (4) 131311122
quinary (5) 12402302
senary (6) 2341430
septenary (7) 1016163
nonary (9) 205560
undecimal (11) 838a3
duodecimal (12) 5a876
tridecimal (13) 43812
tetradecimal (14) 3276a
pentadecimal (15) 2631c

As an angle

122,202° = 339 × 360° + 162°
162° ≈ 2.827 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓏺𓏺
Greek (Milesian)
͵ρκβσβʹ
Mayan (base 20)
𝋯·𝋥·𝋪·𝋢
Chinese
一十二萬二千二百零二
Chinese (financial)
壹拾貳萬貳仟貳佰零貳
In other modern scripts
Eastern Arabic ١٢٢٢٠٢ Devanagari १२२२०२ Bengali ১২২২০২ Tamil ௧௨௨௨௦௨ Thai ๑๒๒๒๐๒ Tibetan ༡༢༢༢༠༢ Khmer ១២២២០២ Lao ໑໒໒໒໐໒ Burmese ၁၂၂၂၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122202, here are decompositions:

  • 29 + 122173 = 122202
  • 53 + 122149 = 122202
  • 71 + 122131 = 122202
  • 103 + 122099 = 122202
  • 149 + 122053 = 122202
  • 151 + 122051 = 122202
  • 163 + 122039 = 122202
  • 173 + 122029 = 122202

Showing the first eight; more decompositions exist.

Hex color
#01DD5A
RGB(1, 221, 90)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.90.

Address
0.1.221.90
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.90

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 122,202 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 122202 first appears in π at position 567,593 of the decimal expansion (the 567,593ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.